From the 1 of 3 linked papers with an AI index.
3 papers
1-Lipschitz Neural Networks on Hadamard Manifolds
Davide Murari, Marta Ghirardelli, Ben Adcock +4
Controlling the Lipschitz constant of a neural network is a standard way to promote robustness and stability. Most existing constraining strategies are designed for Euclidean space…
Learning Forced Multibody Dynamics on Lie Groups
Martine Dyring Hansen, Marta Ghirardelli, Elena Celledoni +2
The paper presents a learning architecture that models mechanical system dynamics using discrete forced Euler-Lagrange equations on Lie groups, requiring only position measurements…
Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics
Martine Dyring Hansen, Elena Celledoni, Benjamin Kwanen Tapley
We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is…